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Finding the Fourth Proportional to 263,261.86, 394,952.25 and 83,358.22

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Solution

The fourth proportional to 263,261.86, 394,952.25 and 83,358.22 is: 125,056.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,261.86 : 394,952.25 = 83,358.22 : x
  2. Step 2: Convert to fraction form
    263,261.86/394,952.25 = 83,358.22/x
  3. Step 3: Cross multiply
    263,261.86x = 394,952.25 × 83,358.22
  4. Step 4: Simplify right side
    263,261.86x = 32,922,514,153.44
  5. Step 5: Solve for x
    x = 32,922,514,153.44/263,261.86
  6. Step 6: Final answer
    x = 125,056.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.